The value of x and y, if \(\begin{bmatrix}2x+y & 6\\-1 & 3x+2y\end{bmatrix}=\begin{bmatrix}4 & 6\\-1 & 7\end{bmatrix}\) are:
Answer & explanation
Correct answer: option 3
2x + y = 4 ..(1)
3x + 2y = 7 ..(2)
Solving for x and y, multiply first equation by 2 and subtract.
4x - 3x + 2y - 2y = 8 - 7
x = 1 (Put in any equation)
2(1) + y = 4 ⇒ y = 2